What Does the Word Ergodicity Mean?
1: of or Relating to a Process in Which Every Sequence or Sizable Sample Is Equally Representative of the Whole (As in Regard to a Statistical Parameter) 2...
1 : of or relating to a process in which every sequence or sizable sample is equally representative of the whole (as in regard to a statistical parameter) 2 : involving or relating to the probability that any state will recur especially : having zero probability that any state will never recur.
How do you explain ergodicity?
What is Ergodicity? This thought experiment is an example of ergodicity. Any actor taking part in a system can be defined as either ergodic or non-ergodic. In an ergodic scenario, the average outcome of the group is the same as the average outcome of the individual over time.
Why is ergodicity important?
This is an extremely important property for statistical mechanics. In fact, the founder of statistical mechanics, Ludwig Boltzmann, coined "ergodic" as the name for a stronger but related property: starting from a random point in state space, orbits will typically pass through every point in state space.
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